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A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

In the spirit of the White-Bear version of fundamental measure theory we derive a new density functional for hard-sphere mixtures which is based on a recent mixture extension of the Carnahan-Starling equation of state. In addition to the…

Soft Condensed Matter · Physics 2009-11-11 Hendrik Hansen-Goos , Roland Roth

We investigate expansions for connectedness functions in the random connection model of continuum percolation in powers of the intensity. Precisely, we study the pair-connectedness and the direct-connectedness functions, related to each…

Mathematical Physics · Physics 2022-09-09 Sabine Jansen , Leonid Kolesnikov , Kilian Matzke

We derive an explicit c-function expansion of a basic hypergeometric function associated to root systems. The basic hypergeometric function in question was constructed as explicit series expansion in symmetric Macdonald polynomials by…

Quantum Algebra · Mathematics 2014-02-11 Jasper V. Stokman

Structural and thermodynamic properties of multicomponent hard-sphere fluids at odd dimensions have recently been derived in the framework of the rational function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E \textbf{83}, 011201…

Statistical Mechanics · Physics 2011-10-28 René D. Rohrmann , Andrés Santos

New relations among the mixture direct correlation function integrals (or fluctuation integrals) in terms of concentration variables are developed. These relations indicate that, for example, for a binary mixture only one of the three…

Statistical Mechanics · Physics 2018-11-22 L. Lepori , E. Matteoli , E. Z. Hamad , G. A. Mansoori

Using confocal-microscopy we investigate the structure of binary mixtures of colloidal hard spheres with size ratio q=0.61. As a function of the packing fraction of the two particle species, we observe a marked change of the dominant…

Soft Condensed Matter · Physics 2007-10-04 Jörg Baumgartl , Roel P. A. Dullens , Marjolein Dijkstra , Roland Roth , Clemens Bechinger

We study the baryon-baryon interactions with strangeness $S = -2$ and corresponding momentum correlation functions in leading order covariant chiral effective field theory. The relevant low energy constants are determined by fitting to the…

High Energy Physics - Phenomenology · Physics 2023-01-25 Zhi-Wei Liu , Kai-Wen Li , Li-Sheng Geng

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

Statistical Mechanics · Physics 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

We present a numerical evaluation of the three-point static correlations functions of the Kob-Andersen Lennard-Jones binary mixture and of its purely repulsive, Weeks-Chandler-Andersen variant. In the glassy regime, the two models possess a…

Statistical Mechanics · Physics 2013-03-01 Daniele Coslovich

Numerical solutions of the mode-coupling theory (MCT) equations for a hard-sphere fluid confined between two parallel hard walls are elaborated. The governing equations feature multiple parallel relaxation channels which significantly…

Soft Condensed Matter · Physics 2020-08-05 Gerhard Jung , Michele Caraglio , Lukas Schrack , Thomas Franosch

The scaling properties of the second order magnetic structure function D_2^{(B)}(r) and the corresponding magnetic correlation function C_2^{(B)}(r) are derived for two-dimensional magnetohydrodynamic turbulence in the kinematic regime…

chao-dyn · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

The effective Coulomb interaction between globular proteins is calculated as a function of monovalent salt concentration $c_s$, by explicit Molecular Dynamics simulations of pairs of model proteins in the presence of microscopic co and…

Soft Condensed Matter · Physics 2016-08-16 E. Allahyarov , H. Löwen , A. A. Louis , J. P. Hansen

The main theme of this paper is the dynamics of Reeb flows with symmetries on the standard contact sphere. We introduce the notion of strong dynamical convexity for contact forms invariant under a group action, supporting the standard…

Symplectic Geometry · Mathematics 2020-11-09 Viktor L. Ginzburg , Leonardo Macarini

The $D$-colored version of tensor models has been shown to admit a large $N$-limit expansion. The leading contributions result from so-called melonic graphs which are dual to the $D$-sphere. This is a note about the Schwinger-Dyson…

High Energy Physics - Theory · Physics 2015-09-08 Dine Ousmane Samary , Carlos I. Pérez-Sánchez , Fabien Vignes-Tourneret , Raimar Wulkenhaar

We study the relation of the three-point cosmic shear statistics to the third-order statistical properties of the underlying convergence, expressed in terms of its bispectrum. Explicit relations for the natural components of the shear…

Astrophysics · Physics 2009-11-16 Peter Schneider , Martin Kilbinger , Marco Lombardi

By using the Rosenfeld density functional we determine the number density profiles of both components of binary hard-sphere fluids close to a planar hard wall as well as the corresponding excess coverage and surface tension. The comparison…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , S. Dietrich

After a brief review of previous work, two exactly solvable two-dimensional models of a finite Coulomb fluid in a disc are studied. The charge correlation function near the boundary circle is computed. When the disc radius is large compared…

Statistical Mechanics · Physics 2009-11-07 B. Jancovici

We calculated the spatial distribution of reduced density and pair distribution function (PDF) of solvent hard spheres near a solute using three-dimensional Ornstein-Zernike (OZ) equations coupled with closures in which Percus-Yevick (PY)…

Soft Condensed Matter · Physics 2023-11-27 Mika Matsuo , Yuka Nakamura , Masahiro Kinoshita , Ryo Akiyama

This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of special functions are in correspondence with the representations…

Mathematical Physics · Physics 2020-04-22 E. Celeghini , M. Gadella , M. A. del Olmo